2014 MECHANICS OF MATERIALS

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "2014 MECHANICS OF MATERIALS"

Transcription

1 R10 SET - 1 II. Tech I Semester Regular Examinations, March 2014 MEHNIS OF MTERILS (ivil Engineering) Time: 3 hours Max. Marks: 75 nswer any FIVE Questions ll Questions carry Equal Marks ~~~~~~~~~~~~~~~~~~~~~~~~~ 1. a) Four forces of magnitude P, 2P, 5.196P and 4P are acting at a point O. The angles made by these forces with x-axis are 0 0, 60 0, and respectively. Find the magnitude and direction of the resultant force. b) Four forces of magnitude 10 kn, 20 kn, 30 kn and 40 kn are acting respectively along the four sides of a square D as shown in Figure 1. Determine: i) the resultant force, line of action and its direction. ii) Determine the resultant moment about point. 20 N 30 N D 2 m 40 N Figure 1 2. a) ladder 5 m long and of 250 N weight is placed against a vertical wall in a position where its inclination to the vertical is man weighing 800 N climbs the ladder. t what position will he induce slipping? The coefficient of friction for both the contact surfaces of the ladder viz. with the wall and the floor is 0.2. b) Two locomotives on opposite banks of a canal pull a vessel moving parallel to the banks by means of two horizontal ropes. The tensions in the ropes are 2000 N and 2400 N while angle between them is Find the resultant pull on the vessel and the angle between each of the ropes and the sides of the canal. (8M+7M) 3. a) Show that the maximum power can be transmitted at τ = max 3τ c b) shaft rotating at 200 r.p.m drives another shaft at 300 r.p.m and transmits 6KW through a belt, the belt is 100mm wide and 10mm thick. The distance between the shafts is 4000mm the smaller pulley is 500mm in diameter. alculate the stress in, (i) Open - belt and (ii) rossed belt. Take µ = 0.3. Neglect centrifugal tension. 4. a) Find out the mass moment inertia of a right circular cone of base radius, R, and mass, M, bout the axis of the cone. b) Find the moment of inertia about the horizontal centriodal axis of shaded portion for the Figure 2. R=30mm (8M+7M) 2 m R 10 N 10 mm 10 mm 10 mm Figure 2 1 of 2

2 R10 SET a) Explain the terms: i) Modulus of elasticity ii) Modulus of rigidity and iii) ulk modulus. b) Show that in a compound bar of length L, when temperature increases by t, the force P developed is given by PL PL + 1 E1 2 E2 = ( a1 a2 ) tl Where 1, 2 ross-sectional areas of bar 1 and bar 2 respectively E 1, E 2 Young s moduli of bar 1 and bar 2 respectively and α 1 and α 2 are coefficient of thermal expansion of bars 1 and 2 respectively. (6M+9M) 6. Draw M and SF diagrams for the beam shown in Figure 3, indicating the values at all salient points. 20 kn 40 kn 30 kn/m 25 kn/m D E F 1 m 2 m R 7. a) ompute the section modulus of rectangular section of dimensions b x d. b) simply supported beam of span 5.0 m has a cross-section 230 mm 350 mm. If the permissible stress in the material of the beam is 10 N/mm 2, determine i) maximum uniformly distributed load it can carry ii) maximum concentrated load at a point 1 m from support it can carry. Neglect moment due to self weight. (6M+9M) 8. beam has cross-section as shown in Figure 4. If the shear force acting on this is 150 kn, Draw the shear stress distribution diagram across the depth. 12 mm Figure mm 12 mm Figure 4 1 m 120 mm 1 m R E 1 m 2 of 2

3 R10 SET - 2 II. Tech I Semester Regular Examinations, March 2014 MEHNIS OF MTERILS (ivil Engineering) Time: 3 hours Max. Marks: 75 nswer any FIVE Questions ll Questions carry Equal Marks ~~~~~~~~~~~~~~~~~~~~~~~~~ 1. Find the resultant of the concurrent force system shown in Figure 1 which consists of the forces T = 500 N, P = 250 N and F = 800 N directed from D towards, and respectively. Z 3m 6m F m Y O 3m 5m Figure 1 P m 2. a) Explain the principles of operation of a screw-jack with a neat sketch. b) Outside diameter of a square threaded spindle of a screw Jack is 40mm. The screw pitch is 10mm. If the coefficient of friction between the screw and the nut is 0.15, neglecting friction between the nut and collar, determine i) Force required to be applied at the screw to raise a load of 2000N ii) The efficiency of screw jack iii) Force required to be applied at pitch radius to lower the same load of 2000N iv) Efficiency while lowering the load v) What should be the pitch for the maximum efficiency of the screw and what should be the value of the maximum efficiency. (6M+9M) 3. leather belt is required to transmit 9kW from a pulley 1200 mm in diameter running at 200 r.p.m The angle embraced is 1650 and the coefficient of friction between leather belt and pulley is 0.3. If the safe working stress for the leather belt is 1.4N/mm 2 the weight of leather is 1000Kg/m 3 and the thickness of the belt is 10mm, determine the width of the belt taking the centrifugal tension in to account. D 12m 6m T m X 1 of 3

4 R10 SET a) Determine the volume generated by the shaded area as shown in Figure 2 about X axis y mm Figure 2 b) Show that the moment of inertia of a thin circular ring of mass M and mean radius R with respect to its geometric axis is MR a) If the Poisson s ratio of a material is 0.3 and its young s modulus is N/mm 2. What is the value of shear modulus? b) steel rod of 20 mm diameter passes centrally through a tight copper tube of external diameter 40 mm. The tube is closed with the help of the rigid washers of negligible thickness and nuts threaded on the rod. The nuts are tightened till the compressive load on the tube is 50kN. Determine the stresses in the rod and the tube, when the temperature of the assembly falls by Take E s = 200 GN/mm 2, E c = 100 GN/mm 2, α s = per 0, α c = per 0. (6M+9M) 6. The simply supported beam D is subjected to a uniform load over the segment together with a concentrated force applied at as shown in Fig.3 Draw Shear force and bending moment diagram and indicate the values at salient points. R 2.5m 1m 1m 2 of 3 x 12 kn 10 kn/m Figure 3 D R D

5 R10 SET The cross-section of a cast iron beam is as shown in Figure 4. The top flange is in compression and bottom flange is in tension. Permissible stress in tension is 30 N/mm 2 and its value in compression is 90 N/mm 2. What is the maximum uniformly distributed load the beam can carry over a simply supported span of 5 m? 75 mm mm Figure 4 8. I-Section has flanges of size mm and its overall depth is 360 mm. The thickness of the web is also 12 mm. It is used as a simply supported beam over a span of 4 m to carry a load of 60 kn/m over its entire span. Draw the variation of bending and shearing stresses across the depth. 3 of 3 50 mm 100 mm 50 mm

6 R10 SET - 3 II. Tech I Semester Regular Examinations, March 2014 MEHNIS OF MTERILS (ivil Engineering) Time: 3 hours Max. Marks: 75 nswer any FIVE Questions ll Questions carry Equal Marks ~~~~~~~~~~~~~~~~~~~~~~~~~ 1. a) Three identical cylinders, each of weighing W, are staked as shown in Figure 1, on smooth inclined surfaces, each inclined at an angle, θ with the horizontal. Determine the smallest angle θ to prevent stack from collapsing. b) The boom of crane is shown in Figure 2, if the weight of the boom is negligible compared with the load W = 60 kn, find the compression in the boom and also limiting value of tension T when the boom approaches the vertical position. θ Figure 1 θ 2. a) Find the least horizontal force P to start motion of any part of the system of three blocks resting upon one another as shown in figure 3. The weights of the blocks are =300N, = 1000 N, = 2000 N. etween and, µ = 0.3, between and, µ = 0.2 and between and the ground µ = 0.1. b) Define the following terms i) Friction; ii) ngle of friction; iii) one of Friction c) What are the characteristic of friction? (6M+6M+3M) 1 of 3 T 6 m α Figure 2 θ W = 5 m Figure 3 P

7 R10 SET a) Distinguish between quarter turn and compound belt drives. b) Determine the maximum power that can transmitted using a belt of 100 mm 10 mm with an angle of lap of The density of belt is 1000kg/m 3 and coefficient of friction may be taken as The tension in the belt should not exceed 1.5N/mm 2. (6M+9M) 4. a) thin plate of mass m is cut in the shape of a parallelogram of thickness, t as shown in Figure 4. Determine the mass moment of inertia of the plate about the x-axis. b) Determine the centriod for a semicircular arc about its diameteral base. y 5. a) bar of uniform thickness t tapers uniformly from a width b1 at one end to b2 at the other end in a length L. Find the expression for its extension under an axial pull P. b) Tension test was conducted on a specimen and the following readings were recorded. Diameter = 25 mm Gauge length of extensometer = 200 mm Least count of extensometer = mm t a load of 30 kn, extensometer reading = 60 t a load of 50 kn, extensometer reading = 100 Yield load = 160 kn Maximum load = 205 kn Diameter neck = 17 mm Final extension over 125 mm original length = 150 mm Find Young s Modulus, yield stress, ultimate stress, percentage elongation and percentage reduction in area. 6. The eam is simply supported at and and subjected to the uniformly distributed load of 300 N/m plus the couple of magnitude 2700 N-m as shown in Figure 5 Write equations for shearing force and bending moment and make plots of these equations. y z t x b b Figure N/m 3 m 3 m 3 m D b x 2700 N/m x R Figure 5 R 2 of 3

8 R10 SET The cross-section of a cast iron beam is as shown in Figure 6. The top flange is in compression and bottom flange is in tension. Permissible stress in tension is 30 N/mm 2 and its value in compression is 90 N/mm 2. What is the maximum uniformly distributed load the beam can carry over a simply supported span of 5 m? 75 mm mm Figure 6 8. The unsymmetrical I-section shown in Figure 7 Is the cross section of a beam, which is subjected to a hear force of 60 kn. Draw the shear stress variation diagram across the depth. 100 mm y mm (a) Figure 7 3 of 3 20 mm 50 mm 100 mm 50 mm 200 mm

9 R10 SET - 4 II. Tech I Semester Regular Examinations, March 2014 MEHNIS OF MTERILS (ivil Engineering) Time: 3 hours Max. Marks: 75 nswer any FIVE Questions ll Questions carry Equal Marks ~~~~~~~~~~~~~~~~~~~~~~~~~ 1. a) tripod consists of three bars joined at D as shown in Fig.1. Find the component of force F along the direction T and the angle between F & T. b) ompute the horizontal component and its direction from X axis of resultant force of the force system T = 400 N, P = 200 N and F = 650 N directed from D towards, and respectively acting as shown in Figure 1. (8M+7M) Z 3m 6m F m Y O 3m 5m Figure 1 2. Two smooth ball bearings each of weight w and radius r are placed inside a cylindrical open at both ends. The assembly rests on a horizontal surface as shown in Figure 2. If the cylinder is of weight W and radius R < 2r, find: a) the force exerted by either ball bearing on the cylinder, b) the smallest value of W that will prevent the cylinder from tipping over c) could the cylinder possibly tip if it were closed at the bottom? 2R P m D 12m 6m r r T m X Figure 2 1 of 3

10 R10 SET a) Deduce an expression for centrifugal tension of belt drive. b) The maximum allowed tension in a belt is 1500 N. The angle of lap is and coefficient of friction between the belt and material of the pulley is Neglecting the effect of centrifugal tension, calculate the net driving tension and power transmitted if the belt speed is 2 m/s. 4. a) Determine the product of inertia of shaded area as shown in Figure 3 about the x-y axis. b) Define mass moment of inertia and explain Transfer formula for mass moments of inertia. y 80 mm Figure 3 5. a) tapering rod has diameter d 1 at one end and it tapers uniformly to a diameter d2 at the other end in a length L. If the modulus of elasticity is E, find the change in length when subjected to an axial force P. b) Derive the relationship between i) Modulus of elasticity and modulus of rigidity ii) Modulus of elasticity and bulk modulus. 6. Draw the bending moment and shear force diagram for the beam loaded as shown in Figure 4. Mark the values at the salient points. Determine the point of contraflexure also. 50 kn 2 m 1 m 20 kn/m x 10 kn/m 7 m 3 m R 1 Figure 4 R 2 40 kn 2 of 3

11 R10 SET symmetric I-section of size 200mm 500mm, 15 mm thick is strengthened with 300mm 20 mm rectangular plate on top flange as shown is Figure 5. If permissible stress in the material is 150 N/mm 2, determine how much concentrated load the beam of this section can carry at centre of 6 m span. Given ends of beam are simply supported. 15 mm thick 300 mm 200 mm Figure 5 8. a) Derive the expression for shear stress distribution of a rectangular section. b) For a circular section of a diameter D. determine formula of shear stress at a distance a from neutral axis at a section of a beam where shearing force is F. Hence find the ratio of shear stresses, q max to q average. 3 of 3 20 mm 500 mm

VALLIAMMAI ENGINEERING COLLEGE SRM NAGAR, KATTANKULATHUR DEPARTMENT OF MECHANICAL ENGINEERING

VALLIAMMAI ENGINEERING COLLEGE SRM NAGAR, KATTANKULATHUR DEPARTMENT OF MECHANICAL ENGINEERING VALLIAMMAI ENGINEERING COLLEGE SRM NAGAR, KATTANKULATHUR 603203 DEPARTMENT OF MECHANICAL ENGINEERING BRANCH: MECHANICAL YEAR / SEMESTER: I / II UNIT 1 PART- A 1. State Newton's three laws of motion? 2.

More information

UNIT 1 STRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS 1. Define stress. When an external force acts on a body, it undergoes deformation.

UNIT 1 STRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS 1. Define stress. When an external force acts on a body, it undergoes deformation. UNIT 1 STRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS 1. Define stress. When an external force acts on a body, it undergoes deformation. At the same time the body resists deformation. The magnitude

More information

For more Stuffs Visit Owner: N.Rajeev. R07

For more Stuffs Visit  Owner: N.Rajeev. R07 Code.No: 43034 R07 SET-1 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II.B.TECH - I SEMESTER REGULAR EXAMINATIONS NOVEMBER, 2009 FOUNDATION OF SOLID MECHANICS (AERONAUTICAL ENGINEERING) Time: 3hours

More information

UNIT I SIMPLE STRESSES AND STRAINS

UNIT I SIMPLE STRESSES AND STRAINS Subject with Code : SM-1(15A01303) Year & Sem: II-B.Tech & I-Sem SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) UNIT I SIMPLE STRESSES

More information

UNIT 3 Friction and Belt Drives 06ME54. Structure

UNIT 3 Friction and Belt Drives 06ME54. Structure UNIT 3 Friction and Belt Drives 06ME54 Structure Definitions Types of Friction Laws of friction Friction in Pivot and Collar Bearings Belt Drives Flat Belt Drives Ratio of Belt Tensions Centrifugal Tension

More information

SECOND ENGINEER REG. III/2 APPLIED MECHANICS

SECOND ENGINEER REG. III/2 APPLIED MECHANICS SECOND ENGINEER REG. III/2 APPLIED MECHANICS LIST OF TOPICS Static s Friction Kinematics Dynamics Machines Strength of Materials Hydrostatics Hydrodynamics A STATICS 1 Solves problems involving forces

More information

Tuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE

Tuesday, February 11, Chapter 3. Load and Stress Analysis. Dr. Mohammad Suliman Abuhaiba, PE 1 Chapter 3 Load and Stress Analysis 2 Chapter Outline Equilibrium & Free-Body Diagrams Shear Force and Bending Moments in Beams Singularity Functions Stress Cartesian Stress Components Mohr s Circle for

More information

MECHANICS OF SOLIDS Credit Hours: 6

MECHANICS OF SOLIDS Credit Hours: 6 MECHANICS OF SOLIDS Credit Hours: 6 Teaching Scheme Theory Tutorials Practical Total Credit Hours/week 4 0 6 6 Marks 00 0 50 50 6 A. Objective of the Course: Objectives of introducing this subject at second

More information

The example of shafts; a) Rotating Machinery; Propeller shaft, Drive shaft b) Structural Systems; Landing gear strut, Flap drive mechanism

The example of shafts; a) Rotating Machinery; Propeller shaft, Drive shaft b) Structural Systems; Landing gear strut, Flap drive mechanism TORSION OBJECTIVES: This chapter starts with torsion theory in the circular cross section followed by the behaviour of torsion member. The calculation of the stress stress and the angle of twist will be

More information

Mechanics of Solids. Mechanics Of Solids. Suraj kr. Ray Department of Civil Engineering

Mechanics of Solids. Mechanics Of Solids. Suraj kr. Ray Department of Civil Engineering Mechanics Of Solids Suraj kr. Ray (surajjj2445@gmail.com) Department of Civil Engineering 1 Mechanics of Solids is a branch of applied mechanics that deals with the behaviour of solid bodies subjected

More information

JNTU World. Subject Code: R13110/R13 '' '' '' ''' '

JNTU World. Subject Code: R13110/R13 '' '' '' ''' ' Set No - 1 I B. Tech I Semester Supplementary Examinations Sept. - 2014 ENGINEERING MECHANICS (Common to CE, ME, CSE, PCE, IT, Chem E, Aero E, AME, Min E, PE, Metal E) Time: 3 hours Max. Marks: 70 Question

More information

Equilibrium & Elasticity

Equilibrium & Elasticity PHYS 101 Previous Exam Problems CHAPTER 12 Equilibrium & Elasticity Static equilibrium Elasticity 1. A uniform steel bar of length 3.0 m and weight 20 N rests on two supports (A and B) at its ends. A block

More information

Equilibrium of a Rigid Body. Engineering Mechanics: Statics

Equilibrium of a Rigid Body. Engineering Mechanics: Statics Equilibrium of a Rigid Body Engineering Mechanics: Statics Chapter Objectives Revising equations of equilibrium of a rigid body in 2D and 3D for the general case. To introduce the concept of the free-body

More information

D e s i g n o f R i v e t e d J o i n t s, C o t t e r & K n u c k l e J o i n t s

D e s i g n o f R i v e t e d J o i n t s, C o t t e r & K n u c k l e J o i n t s D e s i g n o f R i v e t e d J o i n t s, C o t t e r & K n u c k l e J o i n t s 1. Design of various types of riveted joints under different static loading conditions, eccentrically loaded riveted joints.

More information

MECHANICAL PROPERTIES OF SOLIDS

MECHANICAL PROPERTIES OF SOLIDS Chapter Nine MECHANICAL PROPERTIES OF SOLIDS MCQ I 9.1 Modulus of rigidity of ideal liquids is (a) infinity. (b) zero. (c) unity. (d) some finite small non-zero constant value. 9. The maximum load a wire

More information

FIXED BEAMS IN BENDING

FIXED BEAMS IN BENDING FIXED BEAMS IN BENDING INTRODUCTION Fixed or built-in beams are commonly used in building construction because they possess high rigidity in comparison to simply supported beams. When a simply supported

More information

Chapter 5 CENTRIC TENSION OR COMPRESSION ( AXIAL LOADING )

Chapter 5 CENTRIC TENSION OR COMPRESSION ( AXIAL LOADING ) Chapter 5 CENTRIC TENSION OR COMPRESSION ( AXIAL LOADING ) 5.1 DEFINITION A construction member is subjected to centric (axial) tension or compression if in any cross section the single distinct stress

More information

Physics, Chapter 3: The Equilibrium of a Particle

Physics, Chapter 3: The Equilibrium of a Particle University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Robert Katz Publications Research Papers in Physics and Astronomy 1-1958 Physics, Chapter 3: The Equilibrium of a Particle

More information

ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS. SEMESTER 2 May 2013

ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS. SEMESTER 2 May 2013 ASSOCIATE DEGREE IN ENGINEERING EXAMINATIONS SEMESTER 2 May 2013 COURSE NAME: CODE: Mechanical Engineering Science [8 CHARACTER COURSE CODE] GROUP: AD-ENG 1 DATE: TIME: DURATION: "[EXAM DATE]" "[TIME OF

More information

Strength of Material. Shear Strain. Dr. Attaullah Shah

Strength of Material. Shear Strain. Dr. Attaullah Shah Strength of Material Shear Strain Dr. Attaullah Shah Shear Strain TRIAXIAL DEFORMATION Poisson's Ratio Relationship Between E, G, and ν BIAXIAL DEFORMATION Bulk Modulus of Elasticity or Modulus of Volume

More information

A. Objective of the Course: Objectives of introducing this subject at second year level in civil branches are: 1. Introduction 02

A. Objective of the Course: Objectives of introducing this subject at second year level in civil branches are: 1. Introduction 02 Subject Code: 0CL030 Subject Name: Mechanics of Solids B.Tech. II Year (Sem-3) Mechanical & Automobile Engineering Teaching Credits Examination Marks Scheme Theory Marks Practical Marks Total L 4 T 0 P

More information

8. Combined Loadings

8. Combined Loadings CHAPTER OBJECTIVES qanalyze the stress developed in thin-walled pressure vessels qreview the stress analysis developed in previous chapters regarding axial load, torsion, bending and shear qdiscuss the

More information

Engineering Mechanics

Engineering Mechanics Engineering Mechanics Continued (5) Mohammed Ameen, Ph.D Professor of Civil Engineering B Section Forces in Beams Beams are thin prismatic members that are loaded transversely. Shear Force, Aial Force

More information

Initial Stress Calculations

Initial Stress Calculations Initial Stress Calculations The following are the initial hand stress calculations conducted during the early stages of the design process. Therefore, some of the material properties as well as dimensions

More information

Unit III Theory of columns. Dr.P.Venkateswara Rao, Associate Professor, Dept. of Civil Engg., SVCE, Sriperumbudir

Unit III Theory of columns. Dr.P.Venkateswara Rao, Associate Professor, Dept. of Civil Engg., SVCE, Sriperumbudir Unit III Theory of columns 1 Unit III Theory of Columns References: Punmia B.C.,"Theory of Structures" (SMTS) Vol II, Laxmi Publishing Pvt Ltd, New Delhi 2004. Rattan.S.S., "Strength of Materials", Tata

More information

2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at A and supported at B by rod (1). What is the axial force in rod (1)?

2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at A and supported at B by rod (1). What is the axial force in rod (1)? IDE 110 S08 Test 1 Name: 1. Determine the internal axial forces in segments (1), (2) and (3). (a) N 1 = kn (b) N 2 = kn (c) N 3 = kn 2. Rigid bar ABC supports a weight of W = 50 kn. Bar ABC is pinned at

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS Third E CHAPTER 2 Stress MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University and Strain Axial Loading Contents Stress & Strain:

More information

Beam Bending Stresses and Shear Stress

Beam Bending Stresses and Shear Stress Beam Bending Stresses and Shear Stress Notation: A = name or area Aweb = area o the web o a wide lange section b = width o a rectangle = total width o material at a horizontal section c = largest distance

More information

BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE 2 ND YEAR STUDENTS OF THE UACEG

BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE 2 ND YEAR STUDENTS OF THE UACEG BOOK OF COURSE WORKS ON STRENGTH OF MATERIALS FOR THE ND YEAR STUDENTS OF THE UACEG Assoc.Prof. Dr. Svetlana Lilkova-Markova, Chief. Assist. Prof. Dimitar Lolov Sofia, 011 STRENGTH OF MATERIALS GENERAL

More information

EQUILIBRIUM and ELASTICITY

EQUILIBRIUM and ELASTICITY PH 221-1D Spring 2013 EQUILIBRIUM and ELASTICITY Lectures 30-32 Chapter 12 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 1 Chapter 12 Equilibrium and Elasticity In this chapter we will

More information

Lab Exercise #3: Torsion

Lab Exercise #3: Torsion Lab Exercise #3: Pre-lab assignment: Yes No Goals: 1. To evaluate the equations of angular displacement, shear stress, and shear strain for a shaft undergoing torsional stress. Principles: testing of round

More information

MECH 401 Mechanical Design Applications

MECH 401 Mechanical Design Applications MECH 401 Mechanical Design Applications Dr. M. O Malley Master Notes Spring 008 Dr. D. M. McStravick Rice University Updates HW 1 due Thursday (1-17-08) Last time Introduction Units Reliability engineering

More information

Torsion Stresses in Tubes and Rods

Torsion Stresses in Tubes and Rods Torsion Stresses in Tubes and Rods This initial analysis is valid only for a restricted range of problem for which the assumptions are: Rod is initially straight. Rod twists without bending. Material is

More information

CHAPTER 3 THE EFFECTS OF FORCES ON MATERIALS

CHAPTER 3 THE EFFECTS OF FORCES ON MATERIALS CHAPTER THE EFFECTS OF FORCES ON MATERIALS EXERCISE 1, Page 50 1. A rectangular bar having a cross-sectional area of 80 mm has a tensile force of 0 kn applied to it. Determine the stress in the bar. Stress

More information

Rotational Inertia (approximately 2 hr) (11/23/15)

Rotational Inertia (approximately 2 hr) (11/23/15) Inertia (approximately 2 hr) (11/23/15) Introduction In the case of linear motion, a non-zero net force will result in linear acceleration in accordance with Newton s 2 nd Law, F=ma. The moving object

More information

Shafts. Fig.(4.1) Dr. Salah Gasim Ahmed YIC 1

Shafts. Fig.(4.1) Dr. Salah Gasim Ahmed YIC 1 Shafts. Power transmission shafting Continuous mechanical power is usually transmitted along and etween rotating shafts. The transfer etween shafts is accomplished y gears, elts, chains or other similar

More information

MECHANICS OF MATERIALS. Prepared by Engr. John Paul Timola

MECHANICS OF MATERIALS. Prepared by Engr. John Paul Timola MECHANICS OF MATERIALS Prepared by Engr. John Paul Timola Mechanics of materials branch of mechanics that studies the internal effects of stress and strain in a solid body. stress is associated with the

More information

ME 202 STRENGTH OF MATERIALS SPRING 2014 HOMEWORK 4 SOLUTIONS

ME 202 STRENGTH OF MATERIALS SPRING 2014 HOMEWORK 4 SOLUTIONS ÇANKAYA UNIVERSITY MECHANICAL ENGINEERING DEPARTMENT ME 202 STRENGTH OF MATERIALS SPRING 2014 Due Date: 1 ST Lecture Hour of Week 12 (02 May 2014) Quiz Date: 3 rd Lecture Hour of Week 12 (08 May 2014)

More information

CLUTCHES AND BRAKES. Square-jaw clutch

CLUTCHES AND BRAKES. Square-jaw clutch Clutches: CLUTCHES AND BRAKES A Clutch is a mechanical device which is used to connect or disconnect the source of power from the remaining parts so the power transmission system at the will of the operator.

More information

PHY218 SPRING 2016 Review for Final Exam: Week 14 Final Review: Chapters 1-11, 13-14

PHY218 SPRING 2016 Review for Final Exam: Week 14 Final Review: Chapters 1-11, 13-14 Final Review: Chapters 1-11, 13-14 These are selected problems that you are to solve independently or in a team of 2-3 in order to better prepare for your Final Exam 1 Problem 1: Chasing a motorist This

More information

Class XI Physics. Ch. 9: Mechanical Properties of solids. NCERT Solutions

Class XI Physics. Ch. 9: Mechanical Properties of solids. NCERT Solutions Downloaded from Class XI Physics Ch. 9: Mechanical Properties of solids NCERT Solutions Page 242 Question 9.1: A steel wire of length 4.7 m and cross-sectional area 3.0 10 5 m 2 stretches by the same amount

More information

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading MA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading MA 3702 Mechanics & Materials Science Zhe Cheng (2018) 2 Stress & Strain - Axial Loading Statics

More information

Practice Test 3. Name: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.

Practice Test 3. Name: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question. Name: Date: _ Practice Test 3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A wheel rotates about a fixed axis with an initial angular velocity of 20

More information

CHIEF ENGINEER REG III/2 APPLIED MECHANICS

CHIEF ENGINEER REG III/2 APPLIED MECHANICS CHIEF ENGINEER REG III/2 APPLIED MECHANICS LIST OF TOPICS A B C D E F G H I J Vector Representation Statics Friction Kinematics Dynamics Machines Strength of Materials Hydrostatics Hydrodynamics Control

More information

SOLUTION (17.3) Known: A simply supported steel shaft is connected to an electric motor with a flexible coupling.

SOLUTION (17.3) Known: A simply supported steel shaft is connected to an electric motor with a flexible coupling. SOLUTION (17.3) Known: A simply supported steel shaft is connected to an electric motor with a flexible coupling. Find: Determine the value of the critical speed of rotation for the shaft. Schematic and

More information

Chapter 1 Introduction- Concept of Stress

Chapter 1 Introduction- Concept of Stress hapter 1 Introduction- oncept of Stress INTRODUTION Review of Statics xial Stress earing Stress Torsional Stress 14 6 ending Stress W W L Introduction 1-1 Shear Stress W W Stress and Strain L y y τ xy

More information

Since the block has a tendency to slide down, the frictional force points up the inclined plane. As long as the block is in equilibrium

Since the block has a tendency to slide down, the frictional force points up the inclined plane. As long as the block is in equilibrium Friction Whatever we have studied so far, we have always taken the force applied by one surface on an object to be normal to the surface. In doing so, we have been making an approximation i.e., we have

More information

1-1 Locate the centroid of the plane area shown. 1-2 Determine the location of centroid of the composite area shown.

1-1 Locate the centroid of the plane area shown. 1-2 Determine the location of centroid of the composite area shown. Chapter 1 Review of Mechanics of Materials 1-1 Locate the centroid of the plane area shown 650 mm 1000 mm 650 x 1- Determine the location of centroid of the composite area shown. 00 150 mm radius 00 mm

More information

PLATE GIRDERS II. Load. Web plate Welds A Longitudinal elevation. Fig. 1 A typical Plate Girder

PLATE GIRDERS II. Load. Web plate Welds A Longitudinal elevation. Fig. 1 A typical Plate Girder 16 PLATE GIRDERS II 1.0 INTRODUCTION This chapter describes the current practice for the design of plate girders adopting meaningful simplifications of the equations derived in the chapter on Plate Girders

More information

Vidyalanakar F.Y. Diploma : Sem. II [AE/CE/CH/CR/CS/CV/EE/EP/FE/ME/MH/MI/PG/PT/PS] Engineering Mechanics

Vidyalanakar F.Y. Diploma : Sem. II [AE/CE/CH/CR/CS/CV/EE/EP/FE/ME/MH/MI/PG/PT/PS] Engineering Mechanics Vidyalanakar F.Y. Diploma : Sem. II [AE/CE/CH/CR/CS/CV/EE/EP/FE/ME/MH/MI/PG/PT/PS] Engineering Mechanics Time : 3 Hrs.] Prelim Question Paper Solution [Marks : 100 Q.1 Attempt any TEN of the following

More information

Question 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H

Question 1. Ignore bottom surface. Solution: Design variables: X = (R, H) Objective function: maximize volume, πr 2 H OR Minimize, f(x) = πr 2 H Question 1 (Problem 2.3 of rora s Introduction to Optimum Design): Design a beer mug, shown in fig, to hold as much beer as possible. The height and radius of the mug should be not more than 20 cm. The

More information

Helical Gears n A Textbook of Machine Design

Helical Gears n A Textbook of Machine Design 1066 n A Textbook of Machine Design C H A P T E R 9 Helical Gears 1. Introduction.. Terms used in Helical Gears. 3. Face Width of Helical Gears. 4. Formative or Equivalent Number of Teeth for Helical Gears.

More information

Engineering Mechanics

Engineering Mechanics F.Y. Diploma : Sem. II [AE/CE/CH/CR/CS/CV/EE/EP/FE/ME/MH/MI/PG/PT/PS] Engineering Mechanics Time : 3 Hrs.] Prelim Question Paper Solution [Marks : 00 Q. Attempt any TEN of the following : [20] Q.(a) Difference

More information

b between the angle bracket and the bolts and the average shear stress aver in the bolts. (Disregard friction between the bracket and the column.

b between the angle bracket and the bolts and the average shear stress aver in the bolts. (Disregard friction between the bracket and the column. 1.1. A solid circular post ABC (see figure) supports a load P 1 = 11.000 N acting at the top. A second load P 2 is uniformly distributed around the shelf at B. The diameters of the upper and lower parts

More information

CHAPTER 5 Statically Determinate Plane Trusses

CHAPTER 5 Statically Determinate Plane Trusses CHAPTER 5 Statically Determinate Plane Trusses TYPES OF ROOF TRUSS TYPES OF ROOF TRUSS ROOF TRUSS SETUP ROOF TRUSS SETUP OBJECTIVES To determine the STABILITY and DETERMINACY of plane trusses To analyse

More information

4. SHAFTS. A shaft is an element used to transmit power and torque, and it can support

4. SHAFTS. A shaft is an element used to transmit power and torque, and it can support 4. SHAFTS A shaft is an element used to transmit power and torque, and it can support reverse bending (fatigue). Most shafts have circular cross sections, either solid or tubular. The difference between

More information

(a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B.

(a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B. 2003 B1. (15 points) A rope of negligible mass passes over a pulley of negligible mass attached to the ceiling, as shown above. One end of the rope is held by Student A of mass 70 kg, who is at rest on

More information

8.1 Internal Forces in Structural Members

8.1 Internal Forces in Structural Members 8.1 Internal Forces in Structural Members 8.1 Internal Forces in Structural Members xample 1, page 1 of 4 1. etermine the normal force, shear force, and moment at sections passing through a) and b). 4

More information

122 CHAPTER 2 Axially Loaded Numbers. Stresses on Inclined Sections

122 CHAPTER 2 Axially Loaded Numbers. Stresses on Inclined Sections 1 CHATER Aiall Loaded Numbers Stresses on Inclined Sections roblem.6-1 A steel bar of rectangular cross section (1.5 in..0 in.) carries a tensile load (see figure). The allowable stresses in tension and

More information

Simple Stresses and Strains

Simple Stresses and Strains Simple Stresses and Strains CHPTER OJECTIVES In this chapter, we will learn about: Various types of (a) stresses as tensile and compressive stresses, positive and negative shear stresses, complementary

More information

Stress Transformation Equations: u = +135 (Fig. a) s x = 80 MPa s y = 0 t xy = 45 MPa. we obtain, cos u + t xy sin 2u. s x = s x + s y.

Stress Transformation Equations: u = +135 (Fig. a) s x = 80 MPa s y = 0 t xy = 45 MPa. we obtain, cos u + t xy sin 2u. s x = s x + s y. 014 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently 9 7. Determine the normal stress and shear stress acting

More information

ME C85/CE C30 Midterm 2. Introduction to Solid Mechanics ME C85/CE C30. Midterm Exam 2. Fall, 2013

ME C85/CE C30 Midterm 2. Introduction to Solid Mechanics ME C85/CE C30. Midterm Exam 2. Fall, 2013 ME C85/CE C30 Midterm 2 Introduction to Solid Mechanics ME C85/CE C30 Midterm Exam 2 1. Do not open the exam until you are told to begin. 2. Put your name and SID on every page of your answer book. 3.

More information

Outline. Organization. Stresses in Beams

Outline. Organization. Stresses in Beams Stresses in Beams B the end of this lesson, ou should be able to: Calculate the maimum stress in a beam undergoing a bending moment 1 Outline Curvature Normal Strain Normal Stress Neutral is Moment of

More information

4.0 m s 2. 2 A submarine descends vertically at constant velocity. The three forces acting on the submarine are viscous drag, upthrust and weight.

4.0 m s 2. 2 A submarine descends vertically at constant velocity. The three forces acting on the submarine are viscous drag, upthrust and weight. 1 1 wooden block of mass 0.60 kg is on a rough horizontal surface. force of 12 N is applied to the block and it accelerates at 4.0 m s 2. wooden block 4.0 m s 2 12 N hat is the magnitude of the frictional

More information

Influence of residual stresses in the structural behavior of. tubular columns and arches. Nuno Rocha Cima Gomes

Influence of residual stresses in the structural behavior of. tubular columns and arches. Nuno Rocha Cima Gomes October 2014 Influence of residual stresses in the structural behavior of Abstract tubular columns and arches Nuno Rocha Cima Gomes Instituto Superior Técnico, Universidade de Lisboa, Portugal Contact:

More information

Design of Mechanical Drives for a Parabolic Radio Antenna

Design of Mechanical Drives for a Parabolic Radio Antenna Design of Mechanical Drives for a Parabolic Radio Antenna Akshaya Kulkarni 1, Kunal Bhandari 1, Pranoti Panchwagh 1 Department of Mechanical Engineering,VIIT, Savitribai Phule Pune University, Ganeshkhind,

More information

The centroid of an area is defined as the point at which (12-2) The distance from the centroid of a given area to a specified axis may be found by

The centroid of an area is defined as the point at which (12-2) The distance from the centroid of a given area to a specified axis may be found by Unit 12 Centroids Page 12-1 The centroid of an area is defined as the point at which (12-2) The distance from the centroid of a given area to a specified axis may be found by (12-5) For the area shown

More information

AP Physics C: Rotation II. (Torque and Rotational Dynamics, Rolling Motion) Problems

AP Physics C: Rotation II. (Torque and Rotational Dynamics, Rolling Motion) Problems AP Physics C: Rotation II (Torque and Rotational Dynamics, Rolling Motion) Problems 1980M3. A billiard ball has mass M, radius R, and moment of inertia about the center of mass I c = 2 MR²/5 The ball is

More information

PORTMORE COMMUNITY COLLEGE

PORTMORE COMMUNITY COLLEGE PORTMORE COMMUNITY COLLEGE ASSOCIATE DEGREE IN ENGINEERING TECHNOLOGY RESIT EXAMINATIONS SEMESTER 2 July 2012 COURSE NAME: Mechanical Engineering Science CODE: GROUP: ADET 1 DATE: July 3, 2012 TIME: DURATION:

More information

Stress-Strain Behavior

Stress-Strain Behavior Stress-Strain Behavior 6.3 A specimen of aluminum having a rectangular cross section 10 mm 1.7 mm (0.4 in. 0.5 in.) is pulled in tension with 35,500 N (8000 lb f ) force, producing only elastic deformation.

More information

CIVL222 STRENGTH OF MATERIALS. Chapter 6. Torsion

CIVL222 STRENGTH OF MATERIALS. Chapter 6. Torsion CIVL222 STRENGTH OF MATERIALS Chapter 6 Torsion Definition Torque is a moment that tends to twist a member about its longitudinal axis. Slender members subjected to a twisting load are said to be in torsion.

More information

SIR MICHELANGELO REFALO CENTRE FOR FURTHER STUDIES VICTORIA GOZO

SIR MICHELANGELO REFALO CENTRE FOR FURTHER STUDIES VICTORIA GOZO SIR MICHELANGELO REFALO CENTRE FOR FURTHER STUDIES VICTORIA GOZO Half-Yearly Exam 2013 Subject: Physics Level: Advanced Time: 3hrs Name: Course: Year: 1st This paper carries 200 marks which are 80% of

More information

Exam paper: Biomechanics

Exam paper: Biomechanics Exam paper: Biomechanics Tuesday August 10th 2010; 9.00-12.00 AM Code: 8W020 Biomedical Engineering Department, Eindhoven University of Technology The exam comprises 10 problems. Every problem has a maximum

More information

(1) (3)

(1) (3) 1. This question is about momentum, energy and power. (a) In his Principia Mathematica Newton expressed his third law of motion as to every action there is always opposed an equal reaction. State what

More information

S19 S19. (1997) (Rev ) (Rev. 2 Feb. 1998) (Rev.3 Jun. 1998) (Rev.4 Sept. 2000) (Rev.5 July 2004) S Application and definitions

S19 S19. (1997) (Rev ) (Rev. 2 Feb. 1998) (Rev.3 Jun. 1998) (Rev.4 Sept. 2000) (Rev.5 July 2004) S Application and definitions (1997) (Rev. 1 1997) (Rev. Feb. 1998) (Rev.3 Jun. 1998) (Rev.4 Sept. 000) (Rev.5 July 004) Evaluation of Scantlings of the Transverse Watertight Corrugated Bulkhead between Cargo Holds Nos. 1 and, with

More information

Figure 1: Representative strip. = = 3.70 m. min. per unit length of the selected strip: Own weight of slab = = 0.

Figure 1: Representative strip. = = 3.70 m. min. per unit length of the selected strip: Own weight of slab = = 0. Example (8.1): Using the ACI Code approximate structural analysis, design for a warehouse, a continuous one-way solid slab supported on beams 4.0 m apart as shown in Figure 1. Assume that the beam webs

More information

= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200

= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200 Notes for Strength of Materials, ET 00 Steel Six Easy Steps Steel beam design is about selecting the lightest steel beam that will support the load without exceeding the bending strength or shear strength

More information

Structural Steelwork Eurocodes Development of A Trans-national Approach

Structural Steelwork Eurocodes Development of A Trans-national Approach Structural Steelwork Eurocodes Development of A Trans-national Approach Course: Eurocode Module 7 : Worked Examples Lecture 0 : Simple braced frame Contents: 1. Simple Braced Frame 1.1 Characteristic Loads

More information

UNIT 4 FLYWHEEL 4.1 INTRODUCTION 4.2 DYNAMICALLY EQUIVALENT SYSTEM. Structure. Objectives. 4.1 Introduction

UNIT 4 FLYWHEEL 4.1 INTRODUCTION 4.2 DYNAMICALLY EQUIVALENT SYSTEM. Structure. Objectives. 4.1 Introduction UNIT 4 FLYWHEEL Structure 4.1 Introduction Objectives 4. Dynamically Equivalent System 4.3 Turning Moment Diagram 4.3.1 Turning Moment Diagram of a Single Cylinder 4-storke IC Engine 4.3. Turning Moment

More information

K.GNANASEKARAN. M.E.,M.B.A.,(Ph.D)

K.GNANASEKARAN. M.E.,M.B.A.,(Ph.D) DEPARTMENT OF MECHANICAL ENGG. Engineering Mechanics I YEAR 2th SEMESTER) Two Marks Question Bank UNIT-I Basics and statics of particles 1. Define Engineering Mechanics Engineering Mechanics is defined

More information

7.4 The Elementary Beam Theory

7.4 The Elementary Beam Theory 7.4 The Elementary Beam Theory In this section, problems involving long and slender beams are addressed. s with pressure vessels, the geometry of the beam, and the specific type of loading which will be

More information

dv dx Slope of the shear diagram = - Value of applied loading dm dx Slope of the moment curve = Shear Force

dv dx Slope of the shear diagram = - Value of applied loading dm dx Slope of the moment curve = Shear Force Beams SFD and BMD Shear and Moment Relationships w dv dx Slope of the shear diagram = - Value of applied loading V dm dx Slope of the moment curve = Shear Force Both equations not applicable at the point

More information

MECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I

MECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I MECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I Engineering Mechanics Branch of science which deals with the behavior of a body with the state of rest or motion, subjected to the action of forces.

More information

Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon.

Materials: engineering, science, processing and design, 2nd edition Copyright (c)2010 Michael Ashby, Hugh Shercliff, David Cebon. Modes of Loading (1) tension (a) (2) compression (b) (3) bending (c) (4) torsion (d) and combinations of them (e) Figure 4.2 1 Standard Solution to Elastic Problems Three common modes of loading: (a) tie

More information

Course Material Engineering Mechanics. Topic: Friction

Course Material Engineering Mechanics. Topic: Friction Course Material Engineering Mechanics Topic: Friction by Dr.M.Madhavi, Professor, Department of Mechanical Engineering, M.V.S.R.Engineering College, Hyderabad. Contents PART I : Introduction to Friction

More information

Civil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7

Civil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7 Civil Engineering Design (1) Design of Reinforced Concrete Columns 2006/7 Dr. Colin Caprani, Chartered Engineer 1 Contents 1. Introduction... 3 1.1 Background... 3 1.2 Failure Modes... 5 1.3 Design Aspects...

More information

CHAPTER OBJECTIVES CHAPTER OUTLINE. 4. Axial Load

CHAPTER OBJECTIVES CHAPTER OUTLINE. 4. Axial Load CHAPTER OBJECTIVES Determine deformation of axially loaded members Develop a method to find support reactions when it cannot be determined from euilibrium euations Analyze the effects of thermal stress

More information

Addis Ababa University Addis Ababa Institute of Technology School Of Mechanical and Industrial Engineering Extension Division Assignment 2

Addis Ababa University Addis Ababa Institute of Technology School Of Mechanical and Industrial Engineering Extension Division Assignment 2 Addis Ababa University Addis Ababa Institute of Technology School Of Mechanical and Industrial Engineering Extension Division Assignment 2 1. The 50-kg crate is projected along the floor with an initial

More information

cos(θ)sin(θ) Alternative Exercise Correct Correct θ = 0 skiladæmi 10 Part A Part B Part C Due: 11:59pm on Wednesday, November 11, 2015

cos(θ)sin(θ) Alternative Exercise Correct Correct θ = 0 skiladæmi 10 Part A Part B Part C Due: 11:59pm on Wednesday, November 11, 2015 skiladæmi 10 Due: 11:59pm on Wednesday, November 11, 015 You will receive no credit for items you complete after the assignment is due Grading Policy Alternative Exercise 1115 A bar with cross sectional

More information

External Work. When a force F undergoes a displacement dx in the same direction i as the force, the work done is

External Work. When a force F undergoes a displacement dx in the same direction i as the force, the work done is Structure Analysis I Chapter 9 Deflection Energy Method External Work Energy Method When a force F undergoes a displacement dx in the same direction i as the force, the work done is du e = F dx If the

More information

BME 207 Introduction to Biomechanics Spring 2017

BME 207 Introduction to Biomechanics Spring 2017 April 7, 2017 UNIVERSITY OF RHODE ISAND Department of Electrical, Computer and Biomedical Engineering BE 207 Introduction to Biomechanics Spring 2017 Homework 7 Problem 14.3 in the textbook. In addition

More information

Autodesk Robot Structural Analysis Professional 2014 Design of fixed beam-to-column connection EN :2005/AC:2009

Autodesk Robot Structural Analysis Professional 2014 Design of fixed beam-to-column connection EN :2005/AC:2009 Autodesk Robot Structural Analysis Professional 2014 Design of fixed beam-to-column connection EN 1993-1-8:2005/AC:2009 Ratio 0,44 GENERAL Connection no.: 24 Connection name: Ligação 2 Structure node:

More information

Solution Only gravity is doing work. Since gravity is a conservative force mechanical energy is conserved:

Solution Only gravity is doing work. Since gravity is a conservative force mechanical energy is conserved: 8) roller coaster starts with a speed of 8.0 m/s at a point 45 m above the bottom of a dip (see figure). Neglecting friction, what will be the speed of the roller coaster at the top of the next slope,

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS CHAPTER 6 MECHANCS OF MATERALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf David F. Mazurek Lecture Notes: J. Walt Oler Texas Tech University Shearing Stresses in Beams and Thin- Walled Members

More information

The bending moment diagrams for each span due to applied uniformly distributed and concentrated load are shown in Fig.12.4b.

The bending moment diagrams for each span due to applied uniformly distributed and concentrated load are shown in Fig.12.4b. From inspection, it is assumed that the support moments at is zero and support moment at, 15 kn.m (negative because it causes compression at bottom at ) needs to be evaluated. pplying three- Hence, only

More information

Introduction to Engineering Materials ENGR2000. Dr. Coates

Introduction to Engineering Materials ENGR2000. Dr. Coates Introduction to Engineering Materials ENGR2 Chapter 6: Mechanical Properties of Metals Dr. Coates 6.2 Concepts of Stress and Strain tension compression shear torsion Tension Tests The specimen is deformed

More information

Written Homework problems. Spring (taken from Giancoli, 4 th edition)

Written Homework problems. Spring (taken from Giancoli, 4 th edition) Written Homework problems. Spring 014. (taken from Giancoli, 4 th edition) HW1. Ch1. 19, 47 19. Determine the conversion factor between (a) km / h and mi / h, (b) m / s and ft / s, and (c) km / h and m

More information

Design and Analysis of Adjustable Inside Diameter Mandrel for Induction Pipe Bender

Design and Analysis of Adjustable Inside Diameter Mandrel for Induction Pipe Bender International Journal of Engineering Trends and Technology (IJETT) Volume0Number - Apr 0 Design and Analysis of Adjustable Inside Diameter Mandrel for Induction Pipe Bender S.Nantha Gopan, M.Gowtham J.Kirubakaran

More information

E.G.S. PILLAY ENGINEERING COLLEGE (An Autonomous Institution, Affiliated to Anna University, Chennai) Nagore Post, Nagapattinam , Tamilnadu.

E.G.S. PILLAY ENGINEERING COLLEGE (An Autonomous Institution, Affiliated to Anna University, Chennai) Nagore Post, Nagapattinam , Tamilnadu. Academic Year: 017-018 1701GEX04 ENGINEERING MECHANICS Programme: Question Bank B.E Mechanical Year / Semester: I / II Course Coordinator: Mr.S.K.Krishnakumar/ Mr.V.Manathunainathan Course Objectives To

More information